Some Remarks on Results Related to Ostrowski−Gruss Inequality ¨

Abstract

The article [14] published in 2007 titled “New bounds for the first inequality of Ostrowski−Gruss type and applications in numerical in- ¨ tegration” contains very important results in the sense that the main idea of the article is unique, and it helps to generalize many established results. In the article [11], which appeared in the year 2013, we find exactly the same proving techniques used, leading to similar but slightly different results as compared to results stated in [14]. This arises the question: Why do two different authors, using exactly same proving techniques, arrive at different results? Now we compare results of the two articles and give some remarks on it and produce a better version.